WHAT THE FUCK

>>9107865
do you even trigonometry?

We are not here to do your homework.

hint: you do have enough information

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>>9107868
yes I trigonometry

by this logic i do this (pic related)
angle b should be approximately 63.66
so if i do simple triangle math
180o - 35o - 63.66 = 81.34o for the top left angle

therefore, I SHOULD be able to use fucking Law of Cosines to find the answer, BUT MY ANSWER ISNT WHAT THE BOOK FUCKING HAS?!

c^2=25^2+16^2-2(25)(16)(cos(81.34))
c^2=760.54
c=27.57

BUT AS YOU SEE, THATS NOT WHAT THE BOOK HAS

the book has 39N, whereas my calculation is 27

what the FUCK

>>9107865
The book answer is wrong

How about you take a picture of the problem instead of your shitty drawing.

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>>9107897
problem 35

>>9107906
Take a non blurry picture you fucking retard.

>>9107906
35° is the angle between F and G homo

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>>9107912
there's nothing missing, this information is the exact same information as my OP. i'm not sure what you're looking for here

>>9107918
>add horizontal components together
>add vertical components together
>square the total vertical component, square the total horizontal component, add together, take the square root
>now you have magnitude
>take the arcsine of the vertical over the horizontal components
>now you have the angle

>>9107929
*arctan, not arcsin

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>>9107915
>35° is the angle between F and G homo
ARE YOU FUCKING KIDDING ME RIGHT NOW

thank you, i was growing literally insane

Let me spell this out for you:
Let R be the resultant force
Rx = F + G cos(a)
Ry = G sin(a)
|R| = sqrt(Rx^2 + Ry^2)
theta = Arctan(Ry/Rx)

>>9107918
Theta is not needed, and the "x" in your OP is WRONG. Angle between F and G is alpha you idiot.
Sage this shit, please.

>>9107942
literally none of that was in the examples, i just got finished reskimming the chapter for the 5th time

thanks anon you're a godsend

>>9107965
That only works for this specific case. To add two (or more) vectors, you can always break them down into their components and add those.
Rx = F_1 cos (th_1) + F_2 cos (th_2) + ...
Ry = F_1 sin (th_1) + F_2 sin (th_2) + ...

>>9107971
i don't think we're that far into the studies yet, this is general stuff (pre-calc 2)

I recall some Rx talk but we've never had to add 3 or more vectors at once yet. i'll keep that in mind for calc 1 though. cheers anon.

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>>9107881
>angle b should be approximately 63.66
You can do it with sine/cosine laws, you just have to do it right. None of this approximation bullshit.

>>9107865
sqrt((16+25*cosd(35))^2 + (25*sind(35))^2) = magnitude
arctan((25*sind(35))/(16 + 25*cosd(35))) = x

>>9107881
its 39.19593 N
your book is right, the 39 degrees refers to the angle between the vectors of length 16 and length 25.